4.6 Article

Relationships Among Various 2-D Quaternion Fourier Transforms

Journal

IEEE SIGNAL PROCESSING LETTERS
Volume 15, Issue -, Pages 669-672

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2008.2002714

Keywords

Quaternion; quaternion Fourier transform

Funding

  1. National Science Council of Taiwan, R.O.C. [NSC 99-2221-E-199-011]

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The recently developed quaternion Fourier transform (QFT) based on quaternion algebra has been found useful for color image processing and signal analysis. However, due to the noncommutative property of quaternion algebra, there exist various definitions for the QFT. The purpose of this letter is to establish and present an in-depth discussion on the relationships among the various QFTs.

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